The Stylish type of CF is actually a mix of Technical type and Stylish type of CP. It works almost like the Technical type, you can perform all of the attacks in the command list using the commands written there, and you can use the special button to do some of the commands.
For example, while using the Stylish type you can perform Ragna's Hell's Fang with its Technical command (quarter circle backwards + A), or with its Stylish command, which is forward + SP. The same Stylish command is used for Ragna's Gauntlet Hades, but this move will be performed only in the air, and inputing it on the ground will result into Hell's Fang. You can see the Stylish commands in character's move list on the official site, or on the Russian BlazBlue Wiki.